Lemma 35.20.23. The property $\mathcal{P}(f) =$“$f$ is finite” is fpqc local on the base.

**Proof.**
An finite morphism is the same thing as an integral morphism which is locally of finite type. See Morphisms, Lemma 29.44.4. Hence the lemma follows on combining Lemmas 35.20.10 and 35.20.22.
$\square$

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